Sample-to-sample fluctuations and bond chaos in the m-component spin glass

Abstract

We calculate the finite-size scaling of the sample-to-sample fluctuations of the free energy Delta F of the m component vector spin glass in the large-m limit. This is accomplished using a variant of the interpolating Hamiltonian technique which is used to establish a connection between the free energy fluctuations and bond chaos. The calculation of bond chaos then shows that the scaling of the free-energy fluctuations with system size N is Delta F similar to N(mu) with 1/5 <= mu <= 3/10, and very likely mu = 1/5 exactly.